Algebra: Invertible matrices
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Please show me how would to prove the following matrix:
Let A be a square matrix
a) If B is a square matrix satisfying BA = I, Then B = A^-1
b) If B is a square matrix satisfying AB = I, Then B = A^-1
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Solution Summary
Given that a product of two square matrices is the identity matrix, this solution proves that one is the inverse of the other.
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Let A be a square matrix
a) If B is a square matrix satisfying BA = I, Then B = A^-1
b) If B is a square matrix ...
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